### $T1$ theorem for inhomogeneous Triebel–Lizorkin and Besov spaces on RD-spaces and its application

#### Abstract

Using Calderón's reproducing formulas and almost orthogonal estimates, the $T1$ theorem for the inhomogeneous Triebel–Lizorkin and Besov spaces on RD-spaces is obtained. As an application, new characterizations for these spaces with “half” the usual conditions of the approximate to the identity are presented.

#### Article information

Source
Adv. Oper. Theory , Number (2018), 16 pages.

Dates
Liao, Fanghui; Liu, Zongguang; Wang, Hongbin. $T1$ theorem for inhomogeneous Triebel–Lizorkin and Besov spaces on RD-spaces and its application. Adv. Oper. Theory, advance publication, 7 February 2018. doi:10.15352/aot.1709-1236. https://projecteuclid.org/euclid.aot/1518016383